LCM of 782, 506, 662, 144, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 506, 662, 144, 672 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 782, 506, 662, 144, 672. So, keep reading to learn more.
Given numbers are 782,506,662,144,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,506,662,144,672 is 2870040096.
Find LCM of 782,506,662,144,672 with Prime Factorization
| 2 | 782, 506, 662, 144, 672 |
| 2 | 391, 253, 331, 72, 336 |
| 2 | 391, 253, 331, 36, 168 |
| 2 | 391, 253, 331, 18, 84 |
| 3 | 391, 253, 331, 9, 42 |
| 23 | 391, 253, 331, 3, 14 |
| 17, 11, 331, 3, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 23 x 17 x 11 x 331 x 3 x 14 = 2870040096
Therefore, the lowest common multiple of 782,506,662,144,672 is 2870040096.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
782 x 506 x 662 x 144 x 672 = 25348194127872
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
782 : 1, 2, 17, 23, 34, 46, 391, 782
506 : 1, 2, 11, 22, 23, 46, 253, 506
662 : 1, 2, 331, 662
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,506,662,144,672, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
506:2x 11x 23
662:2x 331
144:2x 2x 2x 2x 3x 3
672:2x 2x 2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3x 23 = 4416
Therefore, the value for common factors is 4416.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 25348194127872/(2x4416)
LCM = 25348194127872/8832
LCM = 2870040096
Thus, we can understand that the LCM of 782,506,662,144,672 is 2870040096.
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FAQs on LCM of 782, 506, 662, 144, 672
1. What is the LCM of 782, 506, 662, 144, 672?
Answer: LCM of 782, 506, 662, 144, 672 is 2870040096.
2. How to calculate the LCM of 782, 506, 662, 144, 672?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 782, 506, 662, 144, 672.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.